在這篇論文中，我們研究某些奇怪李超代數的擴展登金圖，而其中我們使用奇反射來分 類所有可能的登金圖。

In this thesis, we study the extended Dynkin diagrams of some strange Lie superalgebras.
We introduce the odd reflections to obtain the classification of all extended Dynkin
diagrams.

1 Introduction 3
2 Extended Dynkin Diagram of 𝔭(𝑛) 6
2.1 Reduction of odd roots on A(n) 6
2.2 The lowest root of 𝔭(𝑛) 8
2.3 Reduction of odd roots on 𝔭(𝑛) 10
3 Existence of Extended Dynkin diagram 11
4 Examples 13
Reference 15

[CW12] S.-J. Cheng and W. Wang, Dualities and Representations of Lie Superalgebras,
Graduate Studies in Mathematics 144, Amer. Math. Soc. (2012).
[Chu12] M.-K. Chuah, Finite order automorphisms on contragredient Lie superalgebras,
Journal of Algebra Volume 351, Issue 1, 138-159 (2012).
[Kac77] V. Kac, Lie superalgebras, Adv. Math. 26, 8–96 (1977).
[Mus12] I. Musson, Lie Superalgebras and Enveloping Algebras, Graduate Studies in
Mathematics 131, Amer. Math. Soc. (2012).
[Ser89] I. Penkov and V. Serganova, Cohomology of 𝐺/𝑃 for classical complex Lie
supergroups 𝐺 and characters of some atypical 𝐺-modules, Annales de l’institut
Fourier, tome 39, no 4, 845-873 (1989).